GCD of 548, 648, 408, 542 Calculator

Given Input numbers are 548, 648, 408, 542

In the factoring method, we have to find the divisors of all numbers

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (548, 648, 408, 542) = 2.

Given numbers are 548, 648, 408, 542

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 548, 648, 408, 542 is 2.

Given numbers are 548, 648, 408, 542

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(548, 648) = 88776

GCD(548, 648) = ( 548 x 648 ) / 88776

= 548 / 648

= 548

Step2:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4

Step3:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

So, Greatest Common Divisor of 548, 648, 408, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 259, 835, 414
• GCD of 667, 734, 583, 121
• GCD of 767, 710, 560, 531
• GCD of 980, 217, 888, 735
• GCD of 138, 752, 149, 113

Given numbers are 548, 648, 408, 542
The greatest common divisor of numbers 548, 648, 408, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 648, 408, 542 is 2.

1. What is the GCD of 548, 648, 408, 542?

GCD of given numbers 548, 648, 408, 542 is 2

2. How to calculate the greatest common divisor of 548, 648, 408, 542?

We can find the highest common divisor of 548, 648, 408, 542 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 548, 648, 408, 542 i.e 2.

3. How can I use the GCD of 548, 648, 408, 542Calculator?

Out the numbers 548, 648, 408, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.